.5z+6.0=3.6-1.2z

Solution for .5z+6.0=3.6-1.2z equation:

Simplifying
0.5z + 6.0 = 3.6 + -1.2z

Reorder the terms:
6.0 + 0.5z = 3.6 + -1.2z

Solving
6.0 + 0.5z = 3.6 + -1.2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '1.2z' to each side of the equation.
6.0 + 0.5z + 1.2z = 3.6 + -1.2z + 1.2z

Combine like terms: 0.5z + 1.2z = 1.7z
6.0 + 1.7z = 3.6 + -1.2z + 1.2z

Combine like terms: -1.2z + 1.2z = 0.0
6.0 + 1.7z = 3.6 + 0.0
6.0 + 1.7z = 3.6

Add '-6.0' to each side of the equation.
6.0 + -6.0 + 1.7z = 3.6 + -6.0

Combine like terms: 6.0 + -6.0 = 0.0
0.0 + 1.7z = 3.6 + -6.0
1.7z = 3.6 + -6.0

Combine like terms: 3.6 + -6.0 = -2.4
1.7z = -2.4

Divide each side by '1.7'.
z = -1.411764706

Simplifying
z = -1.411764706